Download MGF 1106 Unit 1 PT

MGF 1106 Unit 1 Practice Test-Hybrid Section
Peace
Name___________________________________
Please note that the actual test will be free response (not multiple choice) and I expect all work to be shown and justification
given for full credit. Use this practice test to be aware of the types of questions you will be asked.
§1.1
Find a counterexample to show that the statement is false.
1) All U.S. presidents have been one-term presidents.
1)
Identify a pattern in the list of numbers. Then use this pattern to find the next number.
2) 7, -28, 112, -448, 1792
A) 7168
B) 3136
C) -7168
D) -3136
2)
Identify a pattern in the sequence of figures. Then use the pattern to find the next figure in the sequence.
3)
A)
________________
C)
B)
3)
D)
The problem describes procedures that are to be applied to numbers. Repeat the procedure for four numbers of your
choice. Write a conjecture that relates the result of the process to the original number selected.
4) Select a number. Multiply the number by 80. Add 80 to the product. Divide this sum by 40.
4)
Subtract 2 from the quotient.
A) The result is double the original number.
B) The result is the original number.
C) The result is one more than double the original number.
D) The result is one more than the original number.
Solve the problem using inductive reasoning.
5) Write the next three ʺtriangularʺ figurate numbers.
5)
Which reasoning process is shown in the following example?
6) We examine the email addresses of 500 people. No two individuals from this group of people have
identical email addresses. We conclude that for all people, no two people have identical
email addresses.
A) inductive reasoning
B) theoretical reasoning
C) reasoning by counterexample
D) deductive reasoning
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6)
7) If Mary goes to the mall, she gets ice cream. Mary did not get ice cream. We conclude Mary did not
go to the mall.
A) inductive reasoning
B) deductive reasoning
C) theoretical reasoning
D) reasoning by counterexample
7)
The problem describes procedures that are to be applied to numbers. Represent the original number as n and use
deductive reasoning to prove a conjecture that relates the result of the process to the number n.
8) Select a number. Multiply the number by 32. Add 32 to the product. Divide this sum by 16.
8)
Subtract two from the quotient.
32n + 32
32n + 32
- 2 = n + 1 - 2 = n - 1
B)
- 2 = 2n + 2 - 2 = 2n
A)
16
32
C)
32n + 16
- 2 = 2n + 1 - 2 = 2n - 1
16
D)
32n + 32
- 1 = n + 1 - 1 = n
32
§1.2
Solve the problem with estimation, but do not use a calculator. Use rounding to make the resulting calculations simple.
9) Estimate the number of seconds in a day.
9)
A) 72,000 seconds
B) 600,000 seconds
C) 3,600 seconds
D) 1,400 seconds
10) You rented an apartment for $795 per month for 5 years. What is the total amount you paid in
rent?
A) $9600
B) $48,000
C) $4000
D) $6000
Estimate the cost to each person. State what estimating you did (in words) to show your technique.
11) Four people share the use of a cable modem service that costs $49.95 a month.
10)
11)
The bar graph below represents various colors of cars sold. Use the graph to answer the question(s).
12) Which color sold under 20,000 cars?
A) White
B) Tan
12)
C) Black
13) Estimate how many more white cars were sold than tan cars.
A) 17,000
B) 22,000
C) 27,000
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D) Yellow
13)
D) 7,000
The circle graph shows the number of times a group of survey respondents watched the news in the past week. Use the
chart to answer the question.
14) If the number of respondents in the study was approximately 44,757, estimate how many stated
that they watched the news 5-6 times in the last week. Show your estimation process. Donʹt
worry if you donʹt exactly get the correct answer choice. As long as it is close, you are fine.
A) 8000 respondents
B) 6000 respondents
C) 10,000 respondents
D) 12,000 respondents
14)
You can be nearly sure there will be a modeling problem similar to these two on the test. STUDY IT!
The bar-graph shows the average living expenses of an undergraduate student. Provide an appropriate response.
15) Write a mathematical model that estimates the average living expenses, E, of an undergraduate
student for x years after 2000.
A) E = 5000 + 650x
B) E = 5000 + 500x
C) E = 5000 + 750x
D) E = 5000 + 450x
15)
16) Use the mathematical model in problem 15 to predict the average living expenses of an
undergraduate student in 2015
A) $11,750
B) $16,250
C) $14,750
D) $12,500
16)
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§1.3
Solve the problem. I want to stress you should CLEARLY show the path to your solution on problems 17 -19
17) An accountant receives a salary of $259,775 per year. During the year, he plans to spend $95,000
17)
on his mortgage, $52,000 on food, $33,000 on clothing, $46,000 on household expenses, and
$25,000 on other expenses. With the money that is left, he expects to buy as many shares of stock at
$225 per share as possible. How many shares will he be able to buy?
A) 36 shares
B) 39 shares
C) 41 shares
D) 38 shares
Solve the problem using the strategy of your choice. Try to formulate how you got to your answer.
18) Can you place the digits 1 through 9 into a 3 x 3 square so that each row, column, and diagonal
add up to the same total? Four digits have been inserted.
( ) 7 ( )
1 ( ) ( )
8 ( ) 4
A)
B)
C)
D)
6 7 9
2 7 6
6 7 2
6 7 3
1 5 2
1 5 9
1 5 9
1 5 9
8 3 4
8 3 4
8 3 4
8 2 4
Solve the problem using the strategy of your choice.
19) Three people have telephone prefixes whose three digits have the same sum. One of the prefixes is
448. None of the prefixes contains a digit that is in one of the other prefixes. None of the prefixes
has a first digit of 6 or 1. One of the prefixes begins with 5. Another ends with 2. What is the prefix
that ends with 2?
A) 372
B) 592
C) 772
D) 962
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18)
19)
Answer Key
Testname: MGF 1106 UNIT 1 PT‐HYBRID
1) Answers may vary. Sample answer: George Washington was elected to two terms.
2) C
3) A
4) A
5) 10, 15, 21
6) A
7) B
8) B
9) A
10) B
11) $50 ÷ 4 = $12.50
12) D
13) A
14) A
15) A
16) C
17) B
18) C
19) C
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